BCS Theory in the Weak Magnetic Field Regime for Systems with Nonzero Flux and Exponential Estimates on the Adiabatic Theorem in Extended Quantum Lattice Systems

Understand

In the main part of this PhD thesis, we consider a periodically realized microscopic superconductor described by BCS theory, which is subject to external electromagnetic fields.

• We show that the superconductor is properly described by Ginzburg--Landau theory in the macroscopic and weak magnetic field limit.
• The main novelty of our results is to allow for a non-vanishing magnetic flux through the unit cell of the lattice of periodicity.
• These main results are supplemented by various unpublished notes in the field of BCS theory.